2,666 research outputs found
System for detecting and tracking moving objects
This paper considers the construction of a system for detecting and tracking moving objects. It is proposed to pre-process the frame using digital image stabilization algorithms based on optical flow. To detectobjects, it is supposed to use the longest optical flow vectors formed after stabilization, and to implement tracking using several classical algorithms using a prefetch mechanism built on classification neural networks
Psi-Series Solution of Fractional Ginzburg-Landau Equation
One-dimensional Ginzburg-Landau equations with derivatives of noninteger
order are considered. Using psi-series with fractional powers, the solution of
the fractional Ginzburg-Landau (FGL) equation is derived. The leading-order
behaviours of solutions about an arbitrary singularity, as well as their
resonance structures, have been obtained. It was proved that fractional
equations of order with polynomial nonlinearity of order have the
noninteger power-like behavior of order near the singularity.Comment: LaTeX, 19 pages, 2 figure
The jet quenching in high energy nuclear collisions and quark-gluon plasma
e investigate the energy loss of quark and gluon jets in quark-gluon plasma
produced in central Au+Au collisions at RHIC energy. We use the physical
characteristic of initial and mixed phases, which were found in effective
quasiparticle model for SPS and RHIC energy. At investigation of energy loss we
take into account also the production of hot glue at first stage. The energy
loss in expanding plasma is calculated in dominant first order of radiation
intensity with accounting of finite kinematic bounds. We calculate the
suppression of - spectra with moderate high , which is
caused by energy loss of quark and gluon jets. The comparison with suppression
of reported by PHENIX show, that correct quantitative description of
suppression we have only in model of phase transition with decrease of thermal
gluon mass and effective coupling in region of phase transition plasma
into hadrons (at ). However quasiparticle model with increase of
these values at in accordance with perturbative QCD lead to too
great energy loss of gluon and quark jets, which disagrees with data on
suppression of . Thus it is possible with help of hard processes to
investigate the structure of phase transition. We show also, that energy losses
at SPS energy are too small in order to be observable. This is caused in fact
by sufficiently short plasma phase at this energy.Comment: 17 pages, 3 figures, 2 table
Fractional Derivative as Fractional Power of Derivative
Definitions of fractional derivatives as fractional powers of derivative
operators are suggested. The Taylor series and Fourier series are used to
define fractional power of self-adjoint derivative operator. The Fourier
integrals and Weyl quantization procedure are applied to derive the definition
of fractional derivative operator. Fractional generalization of concept of
stability is considered.Comment: 20 pages, LaTe
Path Integral for Quantum Operations
In this paper we consider a phase space path integral for general
time-dependent quantum operations, not necessarily unitary. We obtain the path
integral for a completely positive quantum operation satisfied Lindblad
equation (quantum Markovian master equation). We consider the path integral for
quantum operation with a simple infinitesimal generator.Comment: 24 pages, LaTe
Fractional Variations for Dynamical Systems: Hamilton and Lagrange Approaches
Fractional generalization of an exterior derivative for calculus of
variations is defined. The Hamilton and Lagrange approaches are considered.
Fractional Hamilton and Euler-Lagrange equations are derived. Fractional
equations of motion are obtained by fractional variation of Lagrangian and
Hamiltonian that have only integer derivatives.Comment: 21 pages, LaTe
Fractional Generalization of Gradient Systems
We consider a fractional generalization of gradient systems. We use
differential forms and exterior derivatives of fractional orders. Examples of
fractional gradient systems are considered. We describe the stationary states
of these systems.Comment: 11 pages, LaTe
Phase-Space Metric for Non-Hamiltonian Systems
We consider an invariant skew-symmetric phase-space metric for
non-Hamiltonian systems. We say that the metric is an invariant if the metric
tensor field is an integral of motion. We derive the time-dependent
skew-symmetric phase-space metric that satisfies the Jacobi identity. The
example of non-Hamiltonian systems with linear friction term is considered.Comment: 12 page
- …